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Solvable Groups of Unipotent Elements in a Ring

Published online by Cambridge University Press:  20 November 2018

Abraham A. Klein
Abraham A. Klein*
Affiliation:
Department of Mathematical Sciences Tel-Aviv University, Tel-Aviv, Israel
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Abstract

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Let R be a ring with 1 whose nil subrings are nilpotent modulo the sum of nilpotent ideals. It is proved that if G is a locally solvable group of unipotent elements in R, then the subring generated by {g −1 g ∈ G} is nil. This result implies a result of Sizer showing that a solvable group of unipotent matrices over a skew field can be simultaneously triangularized.

Keywords

16A2216A42
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 2 , 01 June 1982 , pp. 187 - 190
Copyright
Copyright © Canadian Mathematical Society 1982

References

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